Answer:
To convert Hectometers to kilometers you divide by 10:
8.7 / 10 = 0.87 kilometer
8.7 hectometers = 87 kilometers = FALSE.
Multiply centigrams by 10 to get milligrams:
4.02 x 10 = 40.2
4.02 centigrams = 40.2 milligrams = TRUE.
Milliliter to liter:
Divide milliliters by 1000:
0.001 / 1000 = 0.000001
0.001 milliliter = 0.1 liter = FALSE.
Meter to kilometer:
Divide meters by 1000:
0.004 / 1000 = 0.000004
0.004 meter = 0.000004 kilometer = TRUE.
B and D are true ;D
Answer:
B and D hope this helps plz press the stars so I can see if this helped:)
u may friend me if u like.
Step-by-step explanation:
If you were having a party and you expect each guest to eat 0.25 pounds of meat, how many pounds of meat should you buy if you expect 30 guest?
Answer:
7.5 pounds
Step-by-step explanation:
30/4=7.5 :)
anyone have answer please
Answer:
a. x = 4
b. x = 17.5
Step-by-step explanation:
a. 5x/2 + 1 = 11
5x/2 = 10
5x = 20
x = 4
b. 2x/7 - 3 = 2
2x/7 = 5
2x = 35
x = 35/2
Answer:
a) x = 4
b) x = 17.5
Step-by-step explanation:
Isolate x variable to find the value.
5x/2 + 1 = 11
5x/2 = 10
5x = 20
x = 4
2x/7 - 3 =2
2x/7 = 5
2x = 35
x = 17.5
UTGENT! I really need help, can anyone help me?
Answer:
x = 3.6
Step-by-step explanation:
By the Postulate of intersecting chords inside a circle.
[tex]x \times 5 = 3 \times 6 \\ 5x = 18 \\ x = \frac{18}{5} \\ x = 3.6 \\ [/tex]
A door delivery florist wishes to estimate the proportion of people in his city that will purchase his flowers. Suppose the true proportion is 0.070.07. If 492492 are sampled, what is the probability that the sample proportion will differ from the population proportion by greater than 0.030.03?
Answer:
The probability that the sample proportion will differ from the population proportion by greater than 0.03 is 0.009.
Step-by-step explanation:
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:
[tex]\mu_{\hat p}=p[/tex]
The standard deviation of this sampling distribution of sample proportion is:
[tex]\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}[/tex]
As the sample size is large, i.e. n = 492 > 30, the central limit theorem can be used to approximate the sampling distribution of sample proportion by the normal distribution.
The mean and standard deviation of the sampling distribution of sample proportion are:
[tex]\mu_{\hat p}=p=0.07\\\\\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.07(1-0.07)}{492}}=0.012[/tex]
Compute the probability that the sample proportion will differ from the population proportion by greater than 0.03 as follows:
[tex]P(|\hat p-p|>0.03)=P(|\frac{\hat p-p}{\sigma_{\hat p}}|>\frac{0.03}{0.012})[/tex]
[tex]=P(|Z|>2.61)\\\\=1-P(|Z|\leq 2.61)\\\\=1-P(-2.61\leq Z\leq 2.61)\\\\=1-[P(Z\leq 2.61)-P(Z\leq -2.61)]\\\\=1-0.9955+0.0045\\\\=0.0090[/tex]
Thus, the probability that the sample proportion will differ from the population proportion by greater than 0.03 is 0.009.
A researcher compares the effectiveness of two different instructional methods for teaching pharmacology. A sample of 63 students using Method 1 produces a testing average of 52.2. A sample of 93 students using Method 2 produces a testing average of 72.3. Assume that the population standard deviation for Method 1 is 15.92, while the population standard deviation for Method 2 is 17.96. Determine the 95% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2.
Answer:
The 95% confidence interval for the difference between means is (-25.5, -14.7).
Step-by-step explanation:
We have to calculate a 95% confidence interval for the difference between means.
The sample 1 (Method 1), of size n1=63 has a mean of 52.2 and a standard deviation of 15.92.
The sample 2 (Method 2), of size n2=93 has a mean of 72.3 and a standard deviation of 17.96.
The difference between sample means is Md=-20.1.
[tex]M_d=M_1-M_2=52.2-72.3=-20.1[/tex]
The estimated standard error of the difference between means is computed using the formula:
[tex]s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{15.92^2}{63}+\dfrac{17.96^2}{93}}\\\\\\s_{M_d}=\sqrt{4.023+3.468}=\sqrt{7.491}=2.74[/tex]
The critical t-value for a 95% confidence interval is t=1.975.
The margin of error (MOE) can be calculated as:
[tex]MOE=t\cdot s_{M_d}=1.975 \cdot 2.74=5.41[/tex]
Then, the lower and upper bounds of the confidence interval are:
[tex]LL=M_d-t \cdot s_{M_d} = -20.1-5.41=-25.5\\\\UL=M_d+t \cdot s_{M_d} = -20.1+5.41=-14.7[/tex]
The 95% confidence interval for the difference between means is (-25.5, -14.7).
AC =
Round your answer to the nearest hundredth.
с
6
B
40°
А
Answer:
5.03
Step-by-step explanation:
Answer:
5.03 = AC
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp/ adj
tan 40 = AC /6
6 tan 40 = AC
5.034597787 = AC
To the nearest hundredth
5.03 = AC
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
C =81.64 cm
Step-by-step explanation:
The circumference is given by
C = 2* pi *r
The radius is 13
C = 2 * 3.14 * 13
C =81.64 cm
Answer:
[tex]= 81.64cm \\ [/tex]
Step-by-step explanation:
[tex]c = 2\pi \: r \\ = 2 \times 3.14 \times 13 \\ = 81.64cm[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Differentiate with respect to x (and simplify): 2x(1-x)^3 I need to show working out. I will mark the best answer BRAINLIEST
Answer:
First of all expand the terms
2x(1-x)³ = 2x( 1 - 3x + 3x² - x³)
Multiply by 2x
You will get
2x - 6x² + 6x³ -2x⁴
Differentiate each of the terms using differentiation rules
You will get
2 - 12x + 18x² - 8x³
So the final answer is
- 8x³ + 18x² - 12x + 2
Hope this helps.
In an office complex of 1110 employees, on any given day some are at work and the rest are absent. It is known that if an employee is at work today, there is an 77% chance that she will be at work tomorrow, and if the employee is absent today, there is a 54% chance that she will be absent tomorrow. Suppose that today there are 899 employees at work.
Required:
a. Find the transition matrix for this scenario.
b. Predict the number that will be at work five days from now.
c. Find the steady-state vector.
Answer:
B
Step-by-step explanation:
Write the Algebraic expression for each of the following.
1. Sum of 35 and 65
2. Take away 14 from y
3. Subtract 3 from the product of 6 and s
4. 10 times the sum of x and 8 5. Take away p from 6
Step-by-step explanation:
1. 35 + 65
2. y - 14
3. (6 x s) - 3
4. 10(x+8.5).. 6-p
Given that TU=8x+11 and UV=12x−1, what are x, TU, UV, and TV?
Answer:
x = 3TU = UV = 35TV = 70Step-by-step explanation:
The question lacks the required diagram. Find the diagram attached.
From the diagram, it can be seen that point U is the midpoint of T and V. This means that TU = UV
Given TU=8x+11 and UV=12x−1
8x+11 = 12x -1
8x-12x = -1-11
-4x = -12
x = 3
Since TU = 8x+11
TU = 8(3)+11
TU = 24+11
TU = 35
Also UV = 12x-1
UV = 12(3)-1
UV = 36- 1
UV = 35
TV = TU+UV
TV = 35+35
TV = 70
Let the sample space be
S = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.
Suppose the outcomes are equally likely. Compute the probability of the event E = 1, 2.
Answer:
probability of the event E = 1/5
Step-by-step explanation:
We are given;
Sample space, S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10},
Number of terms in sample S is;
n(S) = 10
We are given the event; E = {1, 2}
Thus, number of terms in event E is;
n(E) = 2
Now, Probability = favorable outcomes/total outcomes
Thus, the probability of the event E is;
P(E) = n(E)/n(S)
P(E) = 2/10
P(E) = 1/5
What are the domain and range of f(x) = 2|x – 4|?
Answer:
Domain: All real numbers or (negative infinity, positive infinity)
Range: [0, positive infinity)
Step-by-step explanation:
Domain; Since all values of x would work for this equation, simply any number could be plugged in. That means the domain would stretch to infinity because there are an infinite amount of inputs and outputs
Range; Even though we have an infinite amount of domain, when we plug in a negative x, anything inside the absolute value will turn positive. Therefore, no output (y) value will ever go below zero, and we have [0, positive infinity).
Timmy writes the equation f(x) - *x-1. He then doubles both of the terms on the right side to create the equation g(x) =
2x - 2. How does the graph of g(x) compare to the graph of f(x)?
The line of g(x) is steeper and has a higher y-intercept.
The line of g(x) is less steep and has a lower y-intercept.
The line of g(x) is steeper and has a lower y-intercept.
The line of g(x) is less steep and has a higher y-intercept.
Answer:
The line of g(x) is steeper and has a lower y-intercept.
Step-by-step explanation:
Doubling the function expands it vertically by a factor of 2. Everything is twice as far from the x-axis as it was. The line becomes steeper, and the y-intercept moves twice as far away. It was at -1, now is lower, at -2.
The line of g(x) is steeper and has a lower y-intercept.
All the employees of ABC Company are assigned ID numbers. The ID number consists of the first letter of an employee's last name, followed by three numbers. (a) How many possible different ID numbers are there
Answer:
there will be 9 id no. which it contains
In march 2011, the pew research center conducted a survey of us adults to determine whether higher education provides students with a good value compared to the cost. pollsters randomly selected 2,142 adults ages 18 and older living in the continental us. a total of 1,052 interviews were completed with respondents contacted by landline telephone and 1,090 with those contacted on their cellular phone. which feature of the sampling plan makes the sample representative of the population?
Answer:
The feature that makes the sample representative of the population is the choice of the contact mode (telephone landline or cellular phone line) with proportions representative of the ages of the subjects to be represented.
Step-by-step explanation:
The feature that makes the sample representative of the population is the choice of the contact mode (telephone landline or cellular phone line) with proportions representative of the ages of the subjects to be represented.
Older people tend to manage with landline phones, while younger people tend to have no landline phones but cell phone. Both groups must be proportionally represented to be representative of an adult population (18 years or older).
What is the total surface area of the square pyramid 8in 5in
Answer:
A≈166.45 in^2
Step-by-step explanation:
A=a^2+2a√(a2/4+h^2)
a = base = 8 in
h = height = 5 in
A = 8^2+16√(8^2/4+5^2) = 166.449... in^2
224
Step-by-step explanation:
because my teacher said it was right
Please answer this correctly
Answer:
There are 8 sections and 5 of them are less than 7 so the answer is 5/8 = 62.50%.
Answer:
62.5 percent
Step-by-step explanation:
there are a total of 8 options (2,3,4,5,6,7,8,9) the spinner could land on. 5 of these options are less than 7 (6,5,4,3,2)
5/8 is also 62.5 percent
A man wants to set up a 529 college savings account for his granddaughter. How much would he need to deposit each year into the account in order to have $50,000 saved up for when she goes to college in 17 years, assuming the account earns a 5% return?
Answer:
1937.98
Step-by-step explanation:
In the given question, to find the value to be added per year we will use the formula
P= A. r/n/ (1 +r/n)ⁿ - 1
Here A = 50,000
r (rate of interest) = 5 % or 0.05.
n = 1
t = 17
P = value deposit per year
therefore, P = (50,000 X 0.05)/ (1 +0.05)¹⁷ - 1
P = 2500 / 2.29- 1
= 1937.98 $.
therefore, person has to deposit 1937.98 $ per month.
f(x)=x^2 what is g(x)
Answer: D
Step-by-step explanation:
Sometimes, it is hard to see which function fits g(x). We are given the point (4,1). Luckily, the point lies on g(x). We can plug in (4,1) into the g(x) equations and see which best fits.
A. Incorrect
[tex]1=4(4)^2[/tex]
[tex]1=4(16)[/tex]
[tex]1\neq 64[/tex]
B. Incorrect
[tex]1=\frac{1}{4} (4)^2[/tex]
[tex]1=\frac{1}{4} (16)[/tex]
[tex]1\neq 4[/tex]
C. Incorrect
[tex]1=(\frac{1}{2}(4))^2[/tex]
[tex]1=(2)^2[/tex]
[tex]1\neq 4[/tex]
D. Correct
[tex]1=(\frac{1}{4}(4))^2[/tex]
[tex]1=(1)^2[/tex]
[tex]1=1[/tex]
What is the exponential form of log32187=7?
Answer:
[tex]3^{7} = 2187[/tex]
Step-by-step explanation:
The base of the log, 3, would be the base of the exponent. The =7 would be the exponent itself, so now we have [tex]3^7[/tex]. The log of 2187 would be the = for the exponential form, so we have [tex]3^7 = 2187[/tex] as our final answer.
Can someone plz help me solved this problem I need help plz help me! Will mark you as brainiest!
Answer: a) base = 1 ft b) height = 4 ft
Step-by-step explanation:
Set this up as a right triangle where base = x, height = 2x + 2, and hypotenuse (length of the ladder) = 13
Use Pythagorean Theorem to create a quadratic equation, factor, then apply the Zero Product Property to solve for x.
(x)² + (2x + 2)² = 13²
x² + 4x² + 8x + 4 = 169
5x² + 8x - 165 = 0
(5x + 13) (x - 1) = 0
x = -13/5 x = 1
We know that distance cannot be negative so disregard x = -13/5.
The only valid answer is x = 1
base = x --> x = 1
height = 2x + 2 --> 2(1) + 2 = 4
Which of the following is the graph of y = negative StartRoot x EndRoot + 1?
Answer:
see below
Step-by-step explanation:
y = -sqrt(x) +1
We know that the domain is from 0 to infinity
The range is from 1 to negative infinity
Answer:
b
Step-by-step explanation:
e2020
One stick of butter contains 91.6g of fat. Convert this to milligrams.
Answer:
91600 milligrams
Step-by-step explanation:
1 gram = 1000 milligrams
Answer:
1g = 1000milligrams
91.6g = 1000×91.6/1
= 91600 milligrams
Hope this helps
Translate the words into math symbols. The difference of nine and a number is three. What steps would you take to translate the statement? Check all that apply
Answer:
9-x=3
x=9-3=6
x=6
9-6=3
Answer:
B,C,D,F
Step-by-step explanation:
i took the test and i got it right!!!!
A ladder leans against the side of a house. The angle of elevation of the ladder is 66 degrees, and the top of the ladder is 15 ft above the ground. Find the distance from the bottom of the ladder to the side of the house. Round your answer to the nearest tenth.
Answer:
x ≈ 6.7 ft
Step-by-step explanation:
We are going to use tan∅ to find our answer:
tan66° = 15/x
xtan66° = 15
x = 15/tan66°
x = 6.67843 ft
Please please help me!!
Two con terminal angles 3pi/4 negative and positive answer in radians
Answer:
Negative Coterminal: -5π/4
Positive Coterminal: 11π/4
Step-by-step explanation:
The easiest way to find specific (not infinite) coterminal values is to ±2π. When you subtract 2π, you will get a negative coterminal. When you add 2π, you will get a positive coterminal. Keep in mind though that a tan∅ or cot∅ only needs ±π, not ±2π.
Thursday is ladies night at the slurp in Burt bar and Grill. All adult beverages are $1.25 for women and $2.00 for men. A total of 248 adult beverages were sold last Thursday night. If the slip and burp sold a total of $470.50 in adult beverages last Thursday night, how many adult beverages were sold to women. Please help/ answer ASAP!
Answer: 34 beverages
Step-by-step explanation:
We can use system of equations to find the amount of adult beverages sold to women. Let's use x for women and y for men.
Equation 1
1.25x+2y=470.5
Equation 2
x+y=248
We can use elimination method to cancel out the y so we can find the about for women, since that is what the question is asking. To do so, we must multiply the entire second equation by 2 so both y equal.
1.25x+2y=470.5
2x+2y=496
Now, we can subtract both equations to cancel out 2y.
-0.75x=-25.5 [divide both sides by -0.75]
x=34
There were 34 adult beverages sold to women.
Find the equation of the line.
Use exact numbers.
y=
Answer:
y = 2x+4
Step-by-step explanation:
First we need to find the slope using two points
(-2,0) and (0,4)
m = (y2-y1)/(x2-x1)
m = (4-0)/(0--2)
= 4/+2
= 2
we have the y intercept which is 4
Using the slope intercept form of the line
y = mx+b where m is the slope and b is the y intercept
y = 2x+4